A rectangular loop of dimensions $\backslash (\backslash$ell $\backslash )$ and $\backslash ($ w $\backslash )$ moves with a constant velocity $\backslash (\backslash$mathbf$\{$v$\}\backslash )$ away from a long wire that carries a current $\backslash ($ I $\backslash )$ in the plane of the loop. The total resistance of the loop is $\backslash ($ R $\backslash ).$ Derive an expression that gives the current in the loop at the instant the near side is a distance $\backslash ($ r $\backslash )$ from the wire. $($Use the following as necessary: $\backslash (\backslash$mu$\_\{0\},$ l$,$ I, w$,$ v$,$ R $\backslash ),$ and $\backslash ($ r $\backslash ).)$